The purpose of this paper is to introduce the concept of general fuzzy multivalued variational inclusions and to study the existence problem and the iterative approximation problem for certain fuzzy multivalued variational inclusions in Banach spaces. Using the resolvent operator technique and a new analytic technique, some existence theorems and iterative approximation techniques are presented...

We study multivalued dependencies, as well as the propositional formulas whose deduction calculus parallels that of multivalued dependencies, and the variant known as degenerated multivalued dependencies. For each of these sorts of expressions, we provide intrinsic characterizations in purely semantic terms. They naturally generalize similar properties of functional dependencies or Horn clauses.

Recently, Bucur, Guran and Petruşel presented some results on fixed point of multivalued operators on generalized metric spaces which extended some old fixed point theorems to the multivalued case ([1]). In this paper, we shall give some results on fixed points of multivalued operators on ordered generalized metric spaces by providing different conditions in respect to [1].

Let $$\sigma _{1}, \dots , \sigma _{k}$$ be the elementary symmetric functions of complex variables $$x_{1}, x_{k}$$ . We say that $$F \in {\mathbb {C}}[\sigma _{k}]$$ is a trace function if their exists $$f {C}}[z]$$ such $$F(\sigma _{k}) = \sum _{j=1}^{k} f(x_{j})$$ for all {C}}^{k}$$ give an explicit finite family second order differential operators in Weyl algebra $$W_{2}:= _{k}]\langle \fr...

Discovery of multivalued dependencies from database relations is viewed as a search in a hypothesis space de ned according to the generalisation relationship among multivalued dependencies Two algorithms for the dis covery of multivalued dependencies from relations are presented The top down algorithm enumerates the hypotheses from the most general to more speci c hypotheses which are checked o...

In this paper, a new segmentation technique for multivalued images is elaborated. The technique accesses multiscale edge information of a multivalued image by a concept, called multiscale fundamental form. At different scales, an edge map of the multivalued images is obtained, at which a watershed-based algorithm is applied. The multiscale behavior of the obtained watershed regions is employed ...

In this paper, we present some common fixed point theorems for two generalized nonexpansive multivalued mappings in CAT(0) spaces as well as in UCED Banach spaces. Moreover, we prove the existence of fixed points for generalized nonexpansive multivalued mappings in complete geodesic metric spaces with convex metric for which the asymptotic center of a bounded sequence in a bounded closed convex...

Without incorporation of weak-shock theory, the lossless Burgers equation predicts a multivalued waveform for nonlinear propagation beyond a certain distance. Inclusion of thermoviscous attenuation, which increases quadratically with frequency, prevents the occurrence of multivalued waveforms. The same is true for any attenuation law that is proportional to frequency raised to an exponent great...

In this paper, a new wavelet representation for multivalued images is presented. The idea for this representation is based on the first fundamental form that provides a local measure for the contrast of a multivalued image. In this paper, this concept is extended toward multiscale fundamental forms using the dyadic wavelet transform of Mallat. The multiscale fundamental forms provide a local me...

A Lefschetz-type coincidence theorem for two maps f, g : X → Y from an arbitrary topological space to a manifold is given: Ifg = λfg, that is, the coincidence index is equal to the Lefschetz number. It follows that if λfg 6= 0 then there is an x ∈ X such that f(x) = g(x). In particular, the theorem contains well-known coincidence results for (i) X,Y manifolds, f boundary-preserving, and (ii) Y ...